Abstract
We elucidate how uncertainties from rheological measurements manifest in a Generalized Newtonian Fluid (GNF) flow prediction. As specific examples, the resistance and velocity of a settling sphere under gravity in Carbopol and Polyvinylpyrrolidone (PVP) solution was predicted using a Herschel–Bulkley and a Carreau model. Uncertainties in model predictions are quantified, accounting for parametric uncertainties in geometry and rheological models. While the prediction for a settling sphere in PVP falls within the quantified uncertainty bounds, the self-consistent predictions for Carbopol do not. This quantifies the inadequacy of a GNF model for Carbopol in this configuration. Generalizing these results, a validation procedure is presented as a framework for including model-parameter uncertainties in model predictions and identifying model-form error. This information provides quantitative assessments to inform decisions.
Original language | English (US) |
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Article number | 104138 |
Journal | Journal of Non-Newtonian Fluid Mechanics |
Volume | 271 |
DOIs | |
State | Published - Sep 2019 |
Keywords
- Flow around sphere
- Generalized Newtonian fluids
- Model validation
- Rheological modeling
- Uncertainty quantification
ASJC Scopus subject areas
- Chemical Engineering(all)
- Materials Science(all)
- Condensed Matter Physics
- Mechanical Engineering
- Applied Mathematics